89 is what percent of 6773 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 6773 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 6773, so we can write it down as 100%=6773.
4. We know, that x% equals 89 of the output value, so we can write it down as x%=89.
5. Now we have two simple equations:
1) 100%=6773
2) x%=89
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=6773/89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 89 is what percent of 6773

100%/x%=6773/89
(100/x)*x=(6773/89)*x       - we multiply both sides of the equation by x
100=76.101123595506*x       - we divide both sides of the equation by (76.101123595506) to get x
100/76.101123595506=x
1.314041045327=x
x=1.314041045327

now we have:
89 is 1.314041045327% of 6773